Illustrations of optical vortices in three dimensions

Journal of the European Optical Society

Volumn 1, Issue , 2006, Pages

  O'Holleran, Kevin ^a   Dennis, Mark R ^b   Padgett, Miles J ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Interference; Optical vortex; Reconnections

Indexed keywords

ELASTIC WAVES; WAVE INTERFERENCE; WAVE PROPAGATION;

LAGUERRE-GAUSS MODES; LIGHT FIELDS; OBSERVATION PLANES; OPTICAL VORTICES; PHASE SINGULARITIES; RECONNECTIONS; SPIRAL PHASE; THREE DIMENSIONS;

VORTEX FLOW;

EID: 84887142910     PISSN: None     EISSN: 19902573     Source Type: Journal    
DOI: 10.2971/jeos.2006.06008     Document Type: Article

References (18)

1. J. F. Nye and M. V. Berry, "Dislocations in wave trains" Proc. R. Soc. Lond. A 336, 165-190 (1974).
2. J. F. Nye, Natural focusing and fine structure of light (Institute of Physics Publishing, 1999).
3. J. W. Goodman, Statistical Optics (Wiley, 1985).
4. L. Allen and M. J. Padgett, "The Poynting vector in Laguerre-Gaussian beams and the interpretation of their angular momentum density" Opt. Commun. 184, 67-71 (2000).
5. M. V. Berry and M. R. Dennis, " Knotted and linked phase singularities in monochromatic waves" Proc. R. Soc. Lond. A 457, 2251-2263 (2001).
6. D. Rozas, C. T. Law, and G. A. Swartzlander, "Propagation dynamics of optical vortices" J. Opt. Soc. Am. B 14, 3054-3065 (1997).
7. M. V. Berry, "Much ado about nothing: optical dislocation lines (phase singularities, zeros, vortices.)", in Proc. Int. Conf. on Singular Optics, M. S. Soskin, ed. (SPIE, 1998), vol. 3487, pp. 1-5
8. J. F. Nye, "Local solutions for the interaction of wave dislocations" J. Opt. A: Pure Appl. Opt. 6, S251-S254 (2004).
9. J. Ruostekoski and Z. Dutton, "Engineering vortex rings and systems for controlled studies of vortex interactions in Bose-Einstein condensates" Phys. Rev. A 72 063626 (2005).
10. Persistence of Vision Pty. Ltd, Persistence of Vision Raytracer (Version 3.6, 2004), http://www.povray.org
11. K. O'Holleran, M. J. Padgett, and M. R. Dennis, "Topology of optical vortex lines formed by the interference of three, four, and five plane waves" Opt. Express 14, 3039-3044 (2006).
12. M. V. Berry and M. R. Dennis, "Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 dimensions" J. Phys. A:Math. Gen. 34, 8877-8888 (2001).
13. M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps" J. Opt. A: Pure Appl. Opt. 6, 259-268 (2004).
14. J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam" New J. Phys. 6, 71 (2004).
15. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Vortex knots in light" New J. Phys. 7, 55 (2005).
16. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Knotted threads of darkness" Nature 432, 165 (2005).
17. J. F. Nye, "From Airy rings to the elliptic umbilic diffraction catastrophe" J. Opt. A: Pure Appl. Opt. 5, 503-510 (2003).
18. J. F. Nye, "Evolution of the hyperbolic umbilic diffraction catastrophe from Airy rings" J. Opt. A: Pure Appl. Opt. 8, 304-314 (2006).